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Design Methodology of Differential Geometry and Mechanical Function on Low-Dimensional Carbon Nano Materials Considering Hierarchy of Lattice Defects

Research Project

Project/Area Number 20K04174
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Review Section Basic Section 18010:Mechanics of materials and materials-related
Research InstitutionUniversity of Fukui

Principal Investigator

LEI XIAOWEN  福井大学, 学術研究院工学系部門, 准教授 (50726148)

Project Period (FY) 2020-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2022: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2021: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2020: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords格子欠陥 / 階層性 / 微分幾何学 / 力学機能 / ナノ炭素材料 / 曲面設計 / 幾何学と力学融合 / 曲率 / 低次元炭素材料 / 回位 / 転位
Outline of Research at the Start

格子欠陥の配置や構造によって、炭素原子間の距離やエネルギー状態が変化し、低次元炭素材料の物性が変わることを機能として利用できる。理想的な炭素材料の格子構造は六員環で構成され、格子欠陥ではこれが五員環や七員環の組み合わせで表現され、格子欠陥の階層性がある。本研究では、格子欠陥を有する低次元ナノ炭素材料の力学機能曲面設計論の確立とその階層性の解明により、数学との双対性に基礎を置く格子の曲率を基本とした変形力学理論の構築を目的とする。さらに、低次元ナノ炭素材料の材料特性を改良する新な形状付与技術を明らかにする。

Outline of Final Research Achievements

Depending on the arrangement and structure of lattice defects, the distance between carbon atoms and their energy states change, which can be used as a function of the physical properties of low-dimensional carbon materials. The lattice structure of ideal carbon materials consists of six-membered rings, and in lattice defects, this is expressed as a combination of five- and seven-membered rings, resulting in a hierarchy of lattice defects. The purpose of this study is to establish a mechanics-functional surface design theory for low-dimensional nanocarbon materials with lattice defects and to elucidate their hierarchical nature in order to construct a deformation mechanics theory based on the curvature of the lattice, which has its basis in duality with mathematics. Furthermore, we have identified a new shape imparting technique to improve the material properties of low-dimensional nanocarbon materials.

Academic Significance and Societal Importance of the Research Achievements

格子理論の数理モデルを用いて、ナノ積層構造を有するグラファイトに曲面設計論に応用できる。さらに、層内の格子欠陥だけではなくて、層間欠陥を含めた積層構造体のリップロケーションやキンク変形を評価する。構築した数理モデルは、ミクロのグラファイトにとどまらず、積層セラミックス、炭素繊維強化プラスチック、層状合金、地層などマクロの積層構造体に研究対象を拡張することで、マルチスケールの積層構造体に普遍的な強化原理・格子制御原理の構築につながると予測され、数学と力学により材料工学で材料強化に貢献すると確認している。

Report

(4 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Research-status Report
  • 2020 Research-status Report
  • Research Products

    (21 results)

All 2022 2021 2020 Other

All Int'l Joint Research (2 results) Journal Article (4 results) (of which Peer Reviewed: 3 results,  Open Access: 3 results) Presentation (12 results) (of which Int'l Joint Research: 6 results,  Invited: 4 results) Remarks (3 results)

  • [Int'l Joint Research] 西安交通大学(中国)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] 西安交通大学(中国)

    • Related Report
      2020 Research-status Report
  • [Journal Article] The theoretical study of kink deformation in graphite based on differential geometric method2022

    • Author(s)
      Xiao-Wen Lei, Shungo Shimizu,Jin-Xing Shi
    • Journal Title

      Nanomaterials

      Volume: 12 Issue: 6 Pages: 903-903

    • DOI

      10.3390/nano12060903

    • Related Report
      2022 Annual Research Report 2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Molecular dynamics studies on mechanical properties and deformation mechanism of graphene/aluminum composites2022

    • Author(s)
      Li Mengying、Lei Xiao-Wen
    • Journal Title

      Computational Materials Science

      Volume: 211 Pages: 111487-111487

    • DOI

      10.1016/j.commatsci.2022.111487

    • Related Report
      2022 Annual Research Report
  • [Journal Article] Theoretical evaluation of impact characteristics of wavy graphene sheets with disclinations formed by origami and kirigami2022

    • Author(s)
      Yoshitada Tomioka, Toshiaki Natsuki, Jin-Xing Shi, Xiao-Wen Lei
    • Journal Title

      Nanomaterials

      Volume: 12 Issue: 3 Pages: 436-436

    • DOI

      10.3390/nano12030436

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Review on Carbon Nanomaterials-Based Nano-Mass and Nano-Force Sensors by Theoretical Analysis of Vibration Behavior2021

    • Author(s)
      Shi Jin-Xing, Lei Xiao-Wen, Natsuki Toshiaki
    • Journal Title

      Sensors

      Volume: 21 Issue: 5 Pages: 1907-1907

    • DOI

      10.3390/s21051907

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Presentation] 格子欠陥を有するグラフェンシートの変形解析2022

    • Author(s)
      LEI Xiao-Wen、永井敦士
    • Organizer
      「位相幾何・微分幾何及びその周辺分野への特異点論の応用」研究集会
    • Related Report
      2022 Annual Research Report
  • [Presentation] グラフェンシートにおける回位双極子と転位配列の等価性の探求2022

    • Author(s)
      倉谷愛之介、LEI Xiao-Wen
    • Organizer
      日本機械学会第35回計算力学講演会(CMD2022)
    • Related Report
      2022 Annual Research Report
  • [Presentation] 転位配列を有するカーボンナノチューブの変形メカニズムの解明2022

    • Author(s)
      永井敦士、LEI Xiao-Wen
    • Organizer
      日本機械学会第35回計算力学講演会(CMD2022)
    • Related Report
      2022 Annual Research Report
  • [Presentation] 低次元ナノ炭素材料の変形特性解析2022

    • Author(s)
      LEI Xiao-Wen
    • Organizer
      材料フォーラム福井2022
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Deformation mechanism of nano layered solid2021

    • Author(s)
      Xiao-Wen Lei
    • Organizer
      2021 China-Japan Academic and Technical Exchange Conference on Composite Materials
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Analysis of mechanical and geometric properties of hierarchical lattice defects in low-dimensional carbon nano-materials2021

    • Author(s)
      Xiao-Wen Lei, Ako Kihara, Yoshitada Tomioka
    • Organizer
      The 25th International Congress of Theoretical and Applied Mechanics (25th ICTAM)
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research
  • [Presentation] 積層構造体におけるリップロケーションの変形メカニズム解析2021

    • Author(s)
      徐鵬飛、LEI XIAOWEN
    • Organizer
      日本機械学会M&M2021材料力学カンファレンス
    • Related Report
      2021 Research-status Report
  • [Presentation] Research on the deformation mechanism of ripplocation in layered solids2020

    • Author(s)
      Peng-Fei Xu, Yuichi Kojima, Xiao-Wen Lei
    • Organizer
      The 14th World Congress in Computational Mechanics and ECCOMAS Congress
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Hierarchy of lattice defects based on fusion of differential geometry and mechanical function2020

    • Author(s)
      Xiao-Wen Lei, Ako Kihara, Tomoya Taniguchi, Shungo Shimizu
    • Organizer
      Webinar on Materials Science, Engineering and Technology
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Geometrical and energetic analysis of curved surfaces due to disclination in graphene sheet2020

    • Author(s)
      Yoshitada Tomioka, Xiao-Wen Lei
    • Organizer
      The 11th International Conference on Computational Method (ICCM2020)
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Configurational force of lattice defects2020

    • Author(s)
      Xiao-Wen Lei
    • Organizer
      The 11th International Conference on Computational Method (ICCM2020)
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 格子欠陥によるダイヤモンドナノスレッドの振動特性制御2020

    • Author(s)
      阪東和輝、Xiao-Wen LEI
    • Organizer
      第6回材料WEEK若手学生研究発表会
    • Related Report
      2020 Research-status Report
  • [Remarks]

    • URL

      http://mech.u-fukui.ac.jp/~nano_lab/

    • Related Report
      2022 Annual Research Report
  • [Remarks] ナノ機能設計学研究室

    • URL

      http://mech.u-fukui.ac.jp/~nano_lab/index.html

    • Related Report
      2021 Research-status Report
  • [Remarks] ナノ機能設計学研究室

    • URL

      http://mech.u-fukui.ac.jp/~nano_lab/

    • Related Report
      2020 Research-status Report

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Published: 2020-04-28   Modified: 2024-01-30  

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